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Doubly regular tournaments of Szekeres type

Part of: Permutation groups Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Noboru Ito
Noboru Ito
Affiliation:
Department of Mathematics, University of Illinois at Chicago Circle, Box 4348, Chicago, Illinois 60680, U.S.A.
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Abstract

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The purpose of this note is to determine the automorphism group of the doubly regular tournament of Szekeres type, and to use it to show that the corresponding skew Hadamard matrix H of order 2(q + 1), where q ≡5(mod 8) and q > 5, is not equivalent to the skew Hadamard matrix H(2q + 1) of quadratic residue type when 2q + 1 is a prime power.

MSC classification

Secondary: 05B20: Matrices (incidence, Hadamard, etc.) 20B25: Finite automorphism groups of algebraic, geometric, or combinatorial structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 3 , June 1982 , pp. 399 - 404
Copyright
Copyright © Australian Mathematical Society 1982

References

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